Finite Time Stabilization of a Perturbed Double Integrator-Part I: Continuous Sliding Mode-Based Output Feedback Synthesis
The twisting and supertwisting algorithms, generating important classes of second order sliding modes (SOSMs), are well-recognized for their finite time stability and robustness properties. In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of...
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| Veröffentlicht in: | IEEE transactions on automatic control 2011-03, Vol.56 (3), p.614-618 |
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| container_title | IEEE transactions on automatic control |
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| creator | Orlov, Yury Aoustin, Yannick Chevallereau, Christine |
| description | The twisting and supertwisting algorithms, generating important classes of second order sliding modes (SOSMs), are well-recognized for their finite time stability and robustness properties. In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of the supertwisting algorithm are introduced to extend the class of SOSM's that present the afore-mentioned attractive features. Thus modified, the twisting and supertwisting algorithms are utilized in the state feedback synthesis and, respectively, velocity observer design, made for the finite time stabilization of a double integrator if only output measurements are available. Performance and robustness issues of the resulting output feedback synthesis are illustrated by means of numerical simulations. |
| doi_str_mv | 10.1109/TAC.2010.2090708 |
| format | Article |
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In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of the supertwisting algorithm are introduced to extend the class of SOSM's that present the afore-mentioned attractive features. Thus modified, the twisting and supertwisting algorithms are utilized in the state feedback synthesis and, respectively, velocity observer design, made for the finite time stabilization of a double integrator if only output measurements are available. 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In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of the supertwisting algorithm are introduced to extend the class of SOSM's that present the afore-mentioned attractive features. Thus modified, the twisting and supertwisting algorithms are utilized in the state feedback synthesis and, respectively, velocity observer design, made for the finite time stabilization of a double integrator if only output measurements are available. Performance and robustness issues of the resulting output feedback synthesis are illustrated by means of numerical simulations.</description><subject>Adaptative systems</subject><subject>Algorithms</subject><subject>Applied sciences</subject><subject>Asymptotic stability</subject><subject>Computer science; control theory; systems</subject><subject>Control theory. 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| source | IEEE Electronic Library (IEL) |
| subjects | Adaptative systems Algorithms Applied sciences Asymptotic stability Computer science control theory systems Control theory. Systems Exact sciences and technology Lyapunov method Mathematical analysis Modelling and identification Observers Output feedback Perturbation methods Robustness Second order sliding modes (SOSMs) Stability analysis Stabilization State feedback Switches Synthesis System theory Twisting |
| title | Finite Time Stabilization of a Perturbed Double Integrator-Part I: Continuous Sliding Mode-Based Output Feedback Synthesis |
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